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利用两种不同的方法考虑非线性浅水长波近似方程组.用sine-cosine方法并借助Mathematica软件和吴文俊消元法，获得三组孤子解.通过引入新的变换，又获得若干有理形式的解.这两种方法也适合于其他非线性方程(组).In this paper,the nonlinear approximate equations for long wave in shallow water are studied via using two different methods.Firstly,with the aid of Mathematica and Wu-elimination method,by using sine-cosine method,three families of soliton solutions are obtained.Secondly,based on the known references,through using a new transformation,several rational formal solutions are found again.The two methods can be also applied to other nonlinear equations.
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